Higher Nash blowups

Details Higher Nash blowups Higher Nash blowups

2005-12-09

arxiv.org/abs/math/0512184v3

Mathematics

Algebraic Geometry

23 pages;v.3, major revision. The definition of higher Nash blowups has been modified. The new definition coincides with the p

Scientific paper

For each non-negative integer $n$, we define the $n$-th Nash blowup of an
algebraic variety, and call them all higher Nash blowups. When $n=1$, it
coincides with the classical Nash blowup. We study higher Nash blowups of
curves in detail and prove that any curve in characteristic zero can be
desingularized by its $n$-th Nash blowup with $n$ large enough.

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